λ
Match Zalai

8,780,228

22 × 17 × 129121
Deficient Even Composite

8,780,228 factors as 2^2 × 17 × 129121. Its 12 positive divisors give a proper-divisor sum of 7,489,144, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 129121
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 16,269,372
Proper Divisor Sum 7,489,144
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8780207 ← → #8780237

Radix Representation

Decimal 8780228
Binary 100001011111100111000100 (24 bits)
Octal 0o41374704
Hexadecimal 0x85F9C4

Divisor Catalog (12)

1 2 4 17 34 68 129,121 258,242 516,484 2,195,057 4,390,114 8,780,228

Collatz Trajectory (137 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,780,228 4,390,114 2,195,057 6,585,172 3,292,586 1,646,293 4,938,880 2,469,440 1,234,720 617,360 308,680 154,340 77,170 38,585 115,756 57,878 28,939 86,818 43,409 130,228 65,114 32,557 97,672 48,836 24,418 12,209 36,628 18,314 9,157 27,472 13,736 6,868 3,434 1,717 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263

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